University of Tasmania
Browse
124776 - Elementary radical classes.pdf (301.84 kB)

Elementary radical classes

Download (301.84 kB)
journal contribution
posted on 2023-05-19, 16:39 authored by Barry GardnerBarry Gardner
A radical class R of rings is elementary if it contains precisely those rings whose singly generated subrings are in R. Many examples of elementary radical classes are presented, and all those which are either contained in the Jacobson radical class or disjoint from it are described. Attention is given to those elementary radical classes which are definable by composition subsemigroups of the free ring on one generator. Whether every elementary radical class is of this form remains an open question.

History

Publication title

International Electronic Journal of Algebra

Volume

23

Pagination

25-41

ISSN

1306-6048

Department/School

School of Natural Sciences

Publisher

Hacettepe University

Place of publication

Turkey

Rights statement

Copyright 2018 The Author Licensed under Creative Commons Attribution 4.0 International (CC BY 4.0) https://creativecommons.org/licenses/by/4.0/

Repository Status

  • Open

Socio-economic Objectives

Expanding knowledge in the mathematical sciences

Usage metrics

    University Of Tasmania

    Exports

    RefWorks
    BibTeX
    Ref. manager
    Endnote
    DataCite
    NLM
    DC